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Analysis of a shell of revolution subjected to axisymmetric loading taking into account geometric nonlinearity on the basis of the mixed finite element method

  • Structural Mechanics and Strength of Flight Vehicles
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Abstract

An algorithm is presented to obtain the deformation matrix for the annular finite element with a quadrilateral cross-section. The displacement and strain increments are taken as nodal unknowns. For numerical realization of the algorithm, we take the functional obtained using the principle of equal works for the internal and external forces at a step of loading. A newly developed version of approximating the unknown quantities allowed us to solve the problem of taking into account the finite element displacement as a rigid body.

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References

  1. Sedov, L.I., Mekhanika sploshnoi sredy (Mechanics of Continuum), Moscow: Nauka, 1976, vol. 1, p. 536.

    Google Scholar 

  2. Gureeva, N.A., Application of Tensor Field Approximation in the Finite Element Analysis of Shells of Revolution Subjected to Axisymmetric Load, Izv.Vuz. Stroitel’stvo, 2009, no. 2, pp. 17–23.

    Google Scholar 

  3. Gureeva, N.A. and Ar’kov, D.P., Implementation of the Deformation Plasticity Theory in the Mixed Finite Element Analysis of the Plane-Stressed Plates, Izv.Vuz. Severo-Kavkazskii region. Estestvennye Nauki, 2011, no. 2, pp. 17–23.

    Google Scholar 

  4. Papenhausen, V., Eine Energiegerechte, Incrementelle Formulierung der Geometrisch Nichtlinearen. Theorie Elastischer Kontinua und Ihre Numerische Behanalung Mit Hilfe Finiter Element, Technisch-Wissenschaftlich Mittlg., 1975, vol. 3, no. 13, Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum.

    Google Scholar 

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Authors and Affiliations

  1. Volgograd State Agricultural University, pr. Universitetskii 26, Volgograd, 400002, Russia

    N. A. Gureeva, Yu. V. Klochkov & A. P. Nikolaev

Authors
  1. N. A. Gureeva
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  2. Yu. V. Klochkov
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  3. A. P. Nikolaev
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Corresponding author

Correspondence to N. A. Gureeva.

Additional information

Original Russian Text © N.A. Gureeva, Yu.V. Klochkov, A.P. Nikolaev, 2014, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2014, No. 3, pp.14–18.

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Gureeva, N.A., Klochkov, Y.V. & Nikolaev, A.P. Analysis of a shell of revolution subjected to axisymmetric loading taking into account geometric nonlinearity on the basis of the mixed finite element method. Russ. Aeronaut. 57, 232–239 (2014). https://doi.org/10.3103/S1068799814030039

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  • DOI: https://doi.org/10.3103/S1068799814030039

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